a lady bargained with the shopkeeper and get 30 discount from the marked price, which results in a loss of 16% to the shopkeeper. The shopkeeper then decided to increase the market price of similar products such that he will never get profit or loss even after giving 30% discount. His new market price will be approximately what percentage more than his initial market price.
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The marked price of an article is Rs. 4,000. If the price of the article including 13% VAT is rs. 3,616, what is the discount percent given in it?
Let R% denotes the required discount percentage given on the marked price of the article.
Hence from above data we get following relation,
(1 +13/100)*(1 - R/100)*4000 = 3616
or 113*40*(1 - R/100) = 3616
or 1 - R/100 = 3616/113/40
or 1 - R/100 = 4/5
or R = 100/5 = 20
Therefore from above it is evident that the discount percentage
given on the marked price of the article is 20%. [Ans]
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